Archive for the ‘Variation’ Category:

Patron Puzzle: Fillomino (Shape) by Palmer Mebane

Fillomino by Palmer Mebane

PDF

or solve online (using our beta test of Penpa-Edit tools; use tab to alternate between a composite mode for line/edge drawing and a number entry mode.)

Theme: Dyck Paths (This variation was written for Chris Green, one of our Super Grandmaster patrons)

Author/Opus: This is the 36th puzzle from our contributing puzzlemaster Palmer Mebane.

Rules: Standard Fillomino rules. Also, the shapes shown below the grid must appear as polyominoes in the grid. Shapes may be rotated, but may not be reflected.

Answer String: For each cell in the marked rows/columns, enter the area of the polyomino it belongs to. Enter just the last digit for any two-digit number. Start with the 1st row, followed by a comma, followed by the 9th row.

Time Standards (highlight to view): Grandmaster = 5:15, Master = 6:45, Expert = 13:30

Solution: PDF

Note: Follow this link for other classic Fillomino and this link for more variations on Fillomino puzzles. If you are new to this puzzle type, here are our easiest Fillomino puzzles to get started on.

Kakuro (Hex) by Serkan Yürekli

Hex Kakuro by Serkan Yürekli

PDF

or solve online (using our beta test of Penpa-Edit tools)

Theme: The Eye

Author/Opus: This is the 70th puzzle from our contributing puzzlemaster Serkan Yürekli.

Rules: Fill all empty hexes with digits from 1-9 so that all number clues (in white) indicate the sum of the digits in that direction. Digits cannot repeat in any entry (i.e., any group of hexes connected either horizontally or in one of the two diagonal directions, without any black cells separating them). This no repeat rule applies even for unclued entries.

Answer String: Enter the values in each cell in the marked rows from left to right, separating the rows with a comma.

Time Standards (highlight to view): Grandmaster = 7:00, Master = 11:00, Expert = 22:00

Solution: PDF; a solution video is available here.

Note: Follow this link for other Kakuro puzzles.

Masyu (Hex) by Serkan Yürekli

Hex Masyu by Serkan Yürekli

PDF

or solve online (using our beta test of Penpa-Edit tools in linex mode where left click+drag draws lines and right click marks X’s)

Theme: Clue symmetry and logic

Author/Opus: This is the 69th puzzle from our contributing puzzlemaster Serkan Yürekli.

Rules: Variation of Masyu. Draw a single, non-intersecting loop that passes through all circled cells. The loop can only make 120 degree turns. The loop must go straight through the cells with white circles, with a 120 degree turn in at least one of the cells immediately before/after each white circle. The loop must make a 120 degree turn in all the black circles, but must go straight in both cells immediately before/after each black circle.

Answer String: Enter the length in cells of the horizontal loop segments from left to right in the marked rows, starting at the top. If the loop only has vertical segments in the marked row, enter 0. Separate each row’s entry with a comma.

Time Standards (highlight to view): Grandmaster = 7:00, Master = 10:45, Expert = 21:30

Solution: PDF

Note: Follow this link for other Masyu variations and this link for classic Masyu. If you are new to this puzzle type, here are our easiest Masyu to get started on.

SLICY by Thomas Snyder

LITS by Thomas Snyder

PDF

or solve online (using our beta test of Penpa-Edit tools)

Theme: Logical

Author/Opus: This is the 219th puzzle from Thomas Snyder, aka Dr. Sudoku.

Rules: Variation of LITS. Shade exactly four cells in each outlined region to form an S, L, I, C, or Y tetrahex. When all regions have been shaded, the following conditions must be true:
1) All shaded cells will be connected through a network of adjacent shaded cells;
2) No three shaded cells will share a common vertex;
3) When two tetrahexes share an edge in adjacent regions, they must not be the same type (S, L, I, C, or Y), regardless of potential rotations or reflections.

Answer String: Enter the length in cells of each of the shaded segments from left to right for the marked rows, starting at the top. Separate each row’s entry from the next with a comma.

Time Standards (highlight to view): Grandmaster = 5:15, Master = 9:00, Expert = 18:00

Solution: PDF

Note: Follow this link for more variations of LITS and this link for classic LITS. If you are new to this puzzle type, here are our easiest LITS to get started on.

Nanro (Hex) by Prasanna Seshadri

Nanro by Prasanna Seshadri

PDF

or solve online (using our beta test of Penpa-Edit tools; use the tab key to alternate between shading and number entry modes)

Theme: Clue Symmetry and Logic

Author/Opus: This is the 67th puzzle from our contributing puzzlemaster Prasanna Seshadri.

Rules: Variation of Nanro. Instead of the normal 2×2 rule, on this hex grid no three cells in the connected group can share a common vertex. All other rules still apply.

Answer String: Enter the length in cells of each of the segments labeled with numbers from left to right for the marked rows, starting at the top. Separate each row’s entry from the next with a comma.

Time Standards (highlight to view): Grandmaster = 3:30, Master = 5:00, Expert = 10:00

Solution: PDF

Note: Click here for other Nanro puzzles. If you are new to this puzzle type, please first try out the example on the Rules and Info page as well as this easy Nanro post.

Tapa (Hex) by Prasanna Seshadri

Tapa by Prasanna Seshadri

PDF

or solve online (using our beta test of Penpa-Edit tools; use tab to shift between shading mode and the composite Yajilin mode where left click marks cells, right click marks dots in cells or X’s on edges, left click+drag draws lines.)

Theme: Clue Symmetry and Logic

Author/Opus: This is the 66th puzzle from our contributing puzzlemaster Prasanna Seshadri.

Rules: Variation of Tapa. Instead of the normal 2×2 rule, on this hex grid no three cells in the connected Tapa can share a common vertex. All other rules apply.

Answer String: Enter the length in cells of each of the shaded segments from left to right for the marked rows, starting at the top. Separate each row’s entry from the next with a comma.

Time Standards (highlight to view): Grandmaster = 2:40, Master = 4:00, Expert = 8:00

Solution: PDF

Note: Follow this link for other Tapa variations and this link for classic Tapa. If you are new to this puzzle type, here are our easiest Tapa puzzles to get started on.

Kakuro (Hex) by Serkan Yürekli

Hex Kakuro by Serkan Yürekli

PDF

or solve online (using our beta test of Penpa-Edit tools)

Theme: Dogbone

Author/Opus: This is the 68th puzzle from our contributing puzzlemaster Serkan Yürekli.

Rules: Fill all empty hexes with digits from 1-9 so that all number clues (in white) indicate the sum of the digits in that direction. Digits cannot repeat in any entry (i.e., any group of hexes connected either horizontally or in one of the two diagonal directions, without any black cells separating them). This no repeat rule applies even for unclued entries.

Answer String: Enter the values in each cell in the marked rows from left to right, separating the rows with a comma.

Time Standards (highlight to view): Grandmaster = 2:00, Master = 2:30, Expert = 5:00

Solution: PDF

Note: Follow this link for other Kakuro puzzles.

Top Heavy Number Place by Serkan Yürekli

Top Heavy Number Place by Serkan Yürekli

PDF

or solve online (using our beta test of Penpa-Edit tools; use tab to shift between number entry and shading modes.)

Theme: Sum of 24 in Both Halves

Author/Opus: This is the 67th puzzle from our contributing puzzlemaster Serkan Yürekli.

Rules: Fill the grid with digits from 1-6 (1-4 in example below) so that each digit appears exactly once in every row and column. When digits touch vertically, the upper digit must always be bigger.

Top Heavy Number Place by Serkan Yürekli

Answer String: Enter the values in each cell in the marked columns from top to bottom, using a capital X for blank cells. The example has the solution “412X3X,324X1X”.

Time Standards (highlight to view): Grandmaster = 4:15, Master = 5:30, Expert = 11:00

Solution: PDF

Note: Follow this link for other less common Number Placement puzzles.

Top Heavy Number Place by Serkan Yürekli

Top Heavy Number Place by Serkan Yürekli

PDF

or solve online (using our beta test of Penpa-Edit tools; use tab to shift between number entry and shading modes.)

Theme: Clue Symmetry and Logic

Author/Opus: This is the 66th puzzle from our contributing puzzlemaster Serkan Yürekli.

Rules: Fill the grid with digits from 1-5 (1-4 in example below) so that each digit appears exactly once in every row and column. When digits touch vertically, the upper digit must always be bigger.

Top Heavy Number Place by Serkan Yürekli

Answer String: Enter the values in each cell in the marked rows, using a capital X for blank cells. The example has the solution “412X3X,324X1X”.

Time Standards (highlight to view): Grandmaster = 2:15, Master = 3:00, Expert = 6:00

Solution: PDF

Note: Follow this link for other less common Number Placement puzzles.

Top Heavy Number Place by Serkan Yürekli

Top Heavy Number Place by Serkan Yürekli

PDF

or solve online (using our beta test of Penpa-Edit tools; use tab to shift between number entry and shading modes.)

Theme: 1-4 Sequences

Author/Opus: This is the 65th puzzle from our contributing puzzlemaster Serkan Yürekli.

Rules: Fill the grid with digits from 1-4 (also 1-4 in example below) so that each digit appears exactly once in every row and column. When digits touch vertically, the upper digit must always be bigger.

Top Heavy Number Place by Serkan Yürekli

Answer String: Enter the values in each cell in the marked rows, using a capital X for blank cells. The example has the solution “412X3X,324X1X”.

Time Standards (highlight to view): Grandmaster = 1:20, Master = 2:00, Expert = 4:00

Solution: PDF

Note: Follow this link for other less common Number Placement puzzles.